Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem | Macquarie University ResearchOnline

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Title: Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
Related: Proceedings of the London Mathematical Society, Vol. 96, No. 3, (2008), p.507-544
DOI: 10.1112/plms/pdm050
Publisher: London, England : London Mathematical Society
Date: 2008
FoR/RFCD Code(s): 010100 Pure Mathematics
Author/Creator: Coulhon, Thierry
Author/Creator: Sikora, Adam
Description: We prove that in the presence of L² Gaussian estimates, the so-called Davies–Gaffney estimates,on-diagonal upper bounds imply precise off-diagonal Gaussian upper bounds for the kernels of analytic families of operators on metric measure spaces.
Description: 38 page(s)
Subject Keyword: 010100 Pure Mathematics
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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